GCF of 7980/267, 3678/7293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7980/267, 3678/7293 i.e 6/649077 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7980/267, 3678/7293.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7980/267,3678/7293?
Given fractions are 7980/267,3678/7293
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7980/267,3678/7293, numerators are 7980,3678
Denominators are 267,7293
The GCF of 7980,3678 is 6 .
LCM of 267,7293 is 649077.
The greatest common factor of 7980/267,3678/7293 = [GCF of 7980,3678]/[LCM of 267,7293]= 6/649077
Therefore, the GCF of 7980/267,3678/7293 is 6/649077.
To find the highest common factor of 7980,3678, we have to find the factors of both numbers and list the highest common factor.
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
The factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678
The HCF of 7980,3678 is 6.
Lets's calculate GCF of 7980,3678
| 2 | 7980, 3678 |
| 3 | 3990, 1839 |
| 1330, 613 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7980,3678 By Matching Biggest Common Factor Method
Now, list down the factors of 7980
:1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980
Now, list down the factors of 3678
:1,2,3,6,613,1226,1839,3678
Greatest Common Factor
We found the factors 7980,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 7980,3678 is 6.
Lets's calculate LCM of 267,7293
| 3 | 267, 7293 |
| 89, 2431 |
∴ So the LCM of the given numbers is 3 x 89 x 2431 = 649077
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/649077
Therefore, the GCF of Fractions 7980/267,3678/7293 is 6/649077
Least Common Multiple of 267,7293 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 267,7293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,7293) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,7293) x common factors =3 x 1 = 3
LCM(267,7293) = ( 267 × 7293 ) / 3
LCM(267,7293) = 1947231 / 3
LCM(267,7293) = 649077
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FAQs on GCF of Fractions of 7980/267, 3678/7293
1. What is the HCF of 7980,3678?
The HCF of 7980,3678 is 6
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7980/267, 3678/7293?
Answer: GCF of Numerators as per given numbers 7980/267, 3678/7293 is
GCF of Numerators i.e. for 7980,3678 is 6
LCM of denominators i.e. for 267,7293 is 649077.
Thus, GCF of Fractions is 6/649077.Finally, GCF of Fractions for 7980/267, 3678/7293 is 6/649077.